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Waring–Goldbach problem for unlike powers with almost equal variables.
- Source :
- International Journal of Number Theory; Oct2018, Vol. 14 Issue 9, p2441-2472, 32p
- Publication Year :
- 2018
-
Abstract
- Let N be a sufficiently large integer. In this paper, we prove that almost all sufficiently large even integer n ∈ [ N − 6 U , N + 6 U ] can be represented as n = p 1 2 + p 2 2 + p 3 3 + p 4 3 + p 5 4 + p 6 4 , p i 2 − N 6 ≤ U , i = 1 , 2 , p i 3 − N 6 ≤ U , i = 3 , 4 , p i 4 − N 6 ≤ U , i = 5 , 6 , where U = N 1 − δ + 𝜀 with δ = 1 / 4 4. [ABSTRACT FROM AUTHOR]
- Subjects :
- INTEGERS
MATHEMATICS
RATIONAL numbers
REAL numbers
IRRATIONAL numbers
Subjects
Details
- Language :
- English
- ISSN :
- 17930421
- Volume :
- 14
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- International Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 131808433
- Full Text :
- https://doi.org/10.1142/S1793042118501488